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Finding the Fourth Proportional to 5,111.08, 7,666.94 and 2,033

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Solution

The fourth proportional to 5,111.08, 7,666.94 and 2,033 is: 3,049.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.08 : 7,666.94 = 2,033 : x
  2. Step 2: Convert to fraction form
    5,111.08/7,666.94 = 2,033/x
  3. Step 3: Cross multiply
    5,111.08x = 7,666.94 × 2,033
  4. Step 4: Simplify right side
    5,111.08x = 15,586,889.02
  5. Step 5: Solve for x
    x = 15,586,889.02/5,111.08
  6. Step 6: Final answer
    x = 3,049.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.